Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.3 - Multiplying and Factoring Algebraic Expressions - Exercises - Page 21: 26

Answer

$=5x(x^{2}+1)^{4}(x^{3}+1)^{4}(5x^{3}+3x+2)$

Work Step by Step

$10x(x^{2}+1)^{4}(x^{3}+1)^{5}+15x^{2}(x^{2}+1)^{5}(x^{3}+1)^{4}$ $=5x(x^{2}+1)^{4}(x^{3}+1)^{4}[2(x^{3}+1)+3x(x^{2}+1)]$ $=5x(x^{2}+1)^{4}(x^{3}+1)^{4}(2x^{3}+2+3x^{3}+3x)$ $=5x(x^{2}+1)^{4}(x^{3}+1)^{4}(5x^{3}+3x+2)$
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